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345401524 = 22132895741
BaseRepresentation
bin10100100101100…
…110100010110100
3220001221012211001
4110211212202310
51201410322044
654135053044
711362602346
oct2445464264
9801835731
10345401524
11167a74306
1297811184
1356736100
1433c31296
15204cb2d4
hex149668b4

345401524 has 36 divisors (see below), whose sum is σ = 661995180. Its totient is φ = 157597440.

The previous prime is 345401521. The next prime is 345401531. The reversal of 345401524 is 425104543.

345401524 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 96393124 + 249008400 = 9818^2 + 15780^2 .

It is a super-3 number, since 3×3454015243 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345401492 and 345401501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345401521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57294 + ... + 63034.

It is an arithmetic number, because the mean of its divisors is an integer number (18388755).

Almost surely, 2345401524 is an apocalyptic number.

It is an amenable number.

345401524 is a deficient number, since it is larger than the sum of its proper divisors (316593656).

345401524 is a wasteful number, since it uses less digits than its factorization.

345401524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860 (or 5845 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 345401524 is about 18584.9811406953. The cubic root of 345401524 is about 701.6298917830.

The spelling of 345401524 in words is "three hundred forty-five million, four hundred one thousand, five hundred twenty-four".

Divisors: 1 2 4 13 26 52 89 169 178 338 356 676 1157 2314 4628 5741 11482 15041 22964 30082 60164 74633 149266 298532 510949 970229 1021898 1940458 2043796 3880916 6642337 13284674 26569348 86350381 172700762 345401524